Hello,
I find that playing goodly characters is about creating or reinforcing environments that suit their worldview.
So if you have a character that is sworn to Tyrran Justice, the environments that they try to achieve might be reforming laws, fighting against settlements with unjust laws, punishing the guilty (after appropriate investigation and documentation), encouraging magistrates, building a world around law and order through the lens of Triadic Justice.
While if you have a character sworn to Hoarite Justice, the environments they are trying to achieve might be lessen the reach of pacifist faiths, ensure that people are more likely to answer injustice with retribution (particularly with a note of irony) and instead focus laws and attitudes to follow the spirit of the law rather than the letter.
Neither of these need to be sitting around in a tavern (although influencing people to your faith/perspective requires chatting with them in some setting). With a paladin/holy class, you get the extra flavour of their vows and oaths to lean on to determine how they will interact with others.
I recommend drafting a list of faiths that your paladin might be inclined to work with and conflict with to give yourself a cheat sheet for rp. I have this for my current Holy Grumpy Sourpuss and it is very helpful to quickly determine the attitude in a scene.
Hyper religious characters generally give you a lot of ammo (if you brush up on your lore) for engaging with the world. If you find being a stick in the mud fun (which I do, clearly) then great but also remember to pick some elements that give people something to engage on positively or neutrally. It cannot all be zealotry.
A great bit of conflict and retrospection for a follower of Amaunator might be determining who their superiors are, on an island where the faith is not present, for the most part. What sort of aspects would make one a superior and what sort would cause that status to be relinquished?
-S
Played; Echo Hemlocke-Ralkai, Joshua Colt, Namil Evanara, Elanor Shortwick, Sawyer Brook, Kaylessa Dree, Sines Oliver Selakiir, Birgitta Birdie Swordhill, Bella Weartherbee, Arael Laceflower, Corbin, Rupert Silveroak, Hadi, H'larr Twins, and others.